Question

find the valye of x 2power to 2x+2 = 4power to2x-1​

Answer 1

2x+2x+2x=192

3(2x)=192

3(2x)3=1923

2x=64

x=log264  

x=6

Answer 2

Answer:

x = 2

Step-by-step explanation:

Given that-

$(2)^{2x+2} = (4)^{2x-1}$

$(2)^{2x+2} = (2^{2})^{2x-1}$

$2^{2x+2} = 2^{4x-2}$

We know that-

If $a^{x} = a^{y}$

Then x = y

So, $2^{2x+2} = 2^{4x-2}$

Then 2x + 2 = 4x - 2

4x - 2x = 2 + 2

2x = 4

x = 2

Hence, the value of x is 2.